The size, s, of a tumor (in cubic millimeters) is given by s=2^t, where t is the number of months since the tumor was discovered. give units with your answers.

(a) what is the total change in the size of the tumor during the first 9 months?

the total change is
and its units = .

(b) what is the average rate of change in the size of the tumor during the first 9 months?

the average rate of change is

,
and its units = .

(c) use an interval of 0.001 to approximate the rate of change at which the tumor is growing at t=9.

the rate is

,